$30\%)$ Create an array a based on power of $2$ modulo $79.$ Consider a sequence s this way: it starts with s$1=2,$ and then sn $=$ s n$-1*2$ mod $79$ for all n $>=2$; in other words, the first few entries of the sequence s are; $2,4,8,16,32,64,49($since $128\%79=49),19($why$?)$ etc. This sequence stops when $1$ appears in the sequence $($because $2,4,8$ will appear again by the rule$).$ Whats the size of array a$?$ Write a C program that generates an array a dynamically $($at run time$)$ as a$[0]=2,$ a$[1]=4,..,$ a$[3]=8,$ a$[4]=16$ as the sequence s$.$ Then display the array a in your program.